{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3-final"
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   "language": "python",
   "display_name": "Python 3"
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 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "source": [
    "### 线性回归预测房价\n",
    "#### 1、以面积为输入变量，建立单因子模型，评估模型表现，可视化线性回归预测结果\n",
    "#### 2、以income、house age、numbers of rooms、population、area为输入变量，建立多因子模型，评估模型表现\n",
    "#### 3、预测income = 65000，house age = 5，numbers of rooms = 5，population = 30000，size = 200 的合理房价"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "   Avg. Area Income  Avg. Area House Age  Avg. Area Number of Rooms  \\\n0       79545.45857             5.317139                   7.009188   \n1       79248.64245             4.997100                   6.730821   \n2       61287.06718             5.134110                   8.512727   \n3       63345.24005             3.811764                   5.586729   \n4       59982.19723             5.959445                   7.839388   \n\n   Area Population        size         Price  \n0      23086.80050  188.214212  1.059034e+06  \n1      40173.07217  160.042526  1.505891e+06  \n2      36882.15940  227.273544  1.058988e+06  \n3      34310.24283  164.816630  1.260617e+06  \n4      26354.10947  161.966659  6.309435e+05  ",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Avg. Area Income</th>\n      <th>Avg. Area House Age</th>\n      <th>Avg. Area Number of Rooms</th>\n      <th>Area Population</th>\n      <th>size</th>\n      <th>Price</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>79545.45857</td>\n      <td>5.317139</td>\n      <td>7.009188</td>\n      <td>23086.80050</td>\n      <td>188.214212</td>\n      <td>1.059034e+06</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>79248.64245</td>\n      <td>4.997100</td>\n      <td>6.730821</td>\n      <td>40173.07217</td>\n      <td>160.042526</td>\n      <td>1.505891e+06</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>61287.06718</td>\n      <td>5.134110</td>\n      <td>8.512727</td>\n      <td>36882.15940</td>\n      <td>227.273544</td>\n      <td>1.058988e+06</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>63345.24005</td>\n      <td>3.811764</td>\n      <td>5.586729</td>\n      <td>34310.24283</td>\n      <td>164.816630</td>\n      <td>1.260617e+06</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>59982.19723</td>\n      <td>5.959445</td>\n      <td>7.839388</td>\n      <td>26354.10947</td>\n      <td>161.966659</td>\n      <td>6.309435e+05</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "data = pd.read_csv('usa_housing_price.csv')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1080x1080 with 5 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "fig = plt.figure(figsize=(15, 15))\n",
    "fig1 = plt.subplot(231)\n",
    "plt.scatter(data.loc[:, 'Avg. Area Income'], data.loc[:, 'Price'])\n",
    "plt.title('price vs income')\n",
    "plt.xlabel('income')\n",
    "plt.ylabel('price')\n",
    "\n",
    "fig2 = plt.subplot(232)\n",
    "plt.scatter(data.loc[:, 'Avg. Area House Age'], data.loc[:, 'Price'])\n",
    "plt.title('price vs house age')\n",
    "plt.xlabel('house age')\n",
    "plt.ylabel('price')\n",
    "\n",
    "fig3 = plt.subplot(233)\n",
    "plt.scatter(data.loc[:, 'Avg. Area Number of Rooms'], data.loc[:, 'Price'])\n",
    "plt.title('price vs number of rooms')\n",
    "plt.xlabel('number of rooms')\n",
    "plt.ylabel('price')\n",
    "\n",
    "fig4 = plt.subplot(234)\n",
    "plt.scatter(data.loc[:, 'Area Population'], data.loc[:, 'Price'])\n",
    "plt.title('price vs population')\n",
    "plt.xlabel('population')\n",
    "plt.ylabel('price')\n",
    "\n",
    "fig5 = plt.subplot(235)\n",
    "plt.scatter(data.loc[:, 'size'], data.loc[:, 'Price'])\n",
    "plt.title('price vs size')\n",
    "plt.xlabel('size')\n",
    "plt.ylabel('price')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0       188.214212\n",
      "1       160.042526\n",
      "2       227.273544\n",
      "3       164.816630\n",
      "4       161.966659\n",
      "           ...    \n",
      "4995    161.641403\n",
      "4996    159.164596\n",
      "4997    139.491785\n",
      "4998    184.845371\n",
      "4999    148.589423\n",
      "Name: size, Length: 5000, dtype: float64\n",
      "0       1.059034e+06\n",
      "1       1.505891e+06\n",
      "2       1.058988e+06\n",
      "3       1.260617e+06\n",
      "4       6.309435e+05\n",
      "            ...     \n",
      "4995    1.060194e+06\n",
      "4996    1.482618e+06\n",
      "4997    1.030730e+06\n",
      "4998    1.198657e+06\n",
      "4999    1.298950e+06\n",
      "Name: Price, Length: 5000, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# X y 赋值\n",
    "X = data.loc[:, 'size']\n",
    "y = data.loc[:, 'Price']\n",
    "print(X)\n",
    "print(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 建立线性回归模型\n",
    "from sklearn.linear_model import LinearRegression\n",
    "lr_model = LinearRegression()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "LinearRegression()"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 训练模型\n",
    "X = np.array(X).reshape(-1, 1)\n",
    "lr_model.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1276881.85636623 1173363.58767144 1420407.32457443 ... 1097848.86467426\n",
      " 1264502.88144558 1131278.58816273]\n"
     ]
    }
   ],
   "source": [
    "# 计算预测值\n",
    "y_predict = lr_model.predict(X)\n",
    "print(y_predict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "108771672553.6264 0.1275031240418234\n"
     ]
    }
   ],
   "source": [
    "# 评估模型\n",
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "mean_squared_error_1 = mean_squared_error(y, y_predict)\n",
    "r2_score_1 = r2_score(y, y_predict)\n",
    "print(mean_squared_error_1, r2_score_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 576x360 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "fig6 = plt.figure(figsize=(8, 5))\n",
    "plt.scatter(X, y)\n",
    "plt.plot(X, y_predict, 'r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "      Avg. Area Income  Avg. Area House Age  Avg. Area Number of Rooms  \\\n0          79545.45857             5.317139                   7.009188   \n1          79248.64245             4.997100                   6.730821   \n2          61287.06718             5.134110                   8.512727   \n3          63345.24005             3.811764                   5.586729   \n4          59982.19723             5.959445                   7.839388   \n...                ...                  ...                        ...   \n4995       60567.94414             3.169638                   6.137356   \n4996       78491.27543             4.000865                   6.576763   \n4997       63390.68689             3.749409                   4.805081   \n4998       68001.33124             5.465612                   7.130144   \n4999       65510.58180             5.007695                   6.792336   \n\n      Area Population        size  \n0         23086.80050  188.214212  \n1         40173.07217  160.042526  \n2         36882.15940  227.273544  \n3         34310.24283  164.816630  \n4         26354.10947  161.966659  \n...               ...         ...  \n4995      22837.36103  161.641403  \n4996      25616.11549  159.164596  \n4997      33266.14549  139.491785  \n4998      42625.62016  184.845371  \n4999      46501.28380  148.589423  \n\n[5000 rows x 5 columns]",
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Avg. Area Income</th>\n      <th>Avg. Area House Age</th>\n      <th>Avg. Area Number of Rooms</th>\n      <th>Area Population</th>\n      <th>size</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>79545.45857</td>\n      <td>5.317139</td>\n      <td>7.009188</td>\n      <td>23086.80050</td>\n      <td>188.214212</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>79248.64245</td>\n      <td>4.997100</td>\n      <td>6.730821</td>\n      <td>40173.07217</td>\n      <td>160.042526</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>61287.06718</td>\n      <td>5.134110</td>\n      <td>8.512727</td>\n      <td>36882.15940</td>\n      <td>227.273544</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>63345.24005</td>\n      <td>3.811764</td>\n      <td>5.586729</td>\n      <td>34310.24283</td>\n      <td>164.816630</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>59982.19723</td>\n      <td>5.959445</td>\n      <td>7.839388</td>\n      <td>26354.10947</td>\n      <td>161.966659</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>4995</th>\n      <td>60567.94414</td>\n      <td>3.169638</td>\n      <td>6.137356</td>\n      <td>22837.36103</td>\n      <td>161.641403</td>\n    </tr>\n    <tr>\n      <th>4996</th>\n      <td>78491.27543</td>\n      <td>4.000865</td>\n      <td>6.576763</td>\n      <td>25616.11549</td>\n      <td>159.164596</td>\n    </tr>\n    <tr>\n      <th>4997</th>\n      <td>63390.68689</td>\n      <td>3.749409</td>\n      <td>4.805081</td>\n      <td>33266.14549</td>\n      <td>139.491785</td>\n    </tr>\n    <tr>\n      <th>4998</th>\n      <td>68001.33124</td>\n      <td>5.465612</td>\n      <td>7.130144</td>\n      <td>42625.62016</td>\n      <td>184.845371</td>\n    </tr>\n    <tr>\n      <th>4999</th>\n      <td>65510.58180</td>\n      <td>5.007695</td>\n      <td>6.792336</td>\n      <td>46501.28380</td>\n      <td>148.589423</td>\n    </tr>\n  </tbody>\n</table>\n<p>5000 rows × 5 columns</p>\n</div>"
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define X_multi\n",
    "X_multi = data.drop('Price', axis=1)\n",
    "X_multi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "LinearRegression()"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# set up 2nd linear model\n",
    "LR_multi = LinearRegression()\n",
    "# train the model\n",
    "LR_multi.fit(X_multi, y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1223968.89166086 1497306.3318863  1250884.31019437 ... 1020693.92390376\n",
      " 1260503.36914585 1302737.7915763 ]\n"
     ]
    }
   ],
   "source": [
    "# make prediction\n",
    "y_predict_multi = LR_multi.predict(X_multi)\n",
    "print(y_predict_multi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10219846512.17786 0.9180229195220739\n"
     ]
    }
   ],
   "source": [
    "# evaluate the model\n",
    "mean_squared_error_multi = mean_squared_error(y, y_predict_multi)\n",
    "r2_score_multi = r2_score(y, y_predict_multi)\n",
    "print(mean_squared_error_multi, r2_score_multi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualization\n",
    "fig7 = plt.figure()\n",
    "# multi\n",
    "plt.scatter(y, y_predict_multi)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1\n",
    "fig8 = plt.figure()\n",
    "plt.scatter(y, y_predict)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[817052.19516298]\n"
     ]
    }
   ],
   "source": [
    "# predict\n",
    "X_predict_test = [[65000, 5, 5, 30000, 200]]\n",
    "y_predict_test = LR_multi.predict(X_predict_test)\n",
    "print(y_predict_test)"
   ]
  }
 ]
}